642718296720 has 320 divisors, whose sum is σ = 2257050420480. Its totient is φ = 168061132800.

The previous prime is 642718296709. The next prime is 642718296721. The reversal of 642718296720 is 27692817246.

642718296720 is a `hidden beast` number, since 64 + 271 + 8 + 296 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (642718296721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43605192 + ... + 43619928.

It is an arithmetic number, because the mean of its divisors is an integer number (7053282564).

Almost surely, 2^642718296720 is an apocalyptic number.

642718296720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642718296720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128525210240).

642718296720 is an abundant number, since it is smaller than the sum of its proper divisors (1614332123760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642718296720 is a wasteful number, since it uses less digits than its factorization.

642718296720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151 (or 15139 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 642718296720 in words is "six hundred forty-two billion, seven hundred eighteen million, two hundred ninety-six thousand, seven hundred twenty".